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Author*The author of this computation has been verified*
R Software Modulerwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationMon, 08 Dec 2014 19:46:26 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/08/t1418068033279h2ouax6bkn2l.htm/, Retrieved Fri, 17 May 2024 07:17:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264176, Retrieved Fri, 17 May 2024 07:17:11 +0000
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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Onderzoeksvraag 2 E3] [2014-12-08 19:46:26] [7f97e98e9855613d4920945d25253422] [Current]
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Dataseries X:
'S' 50
'S' 62
'S' 54
'S' 71
'S' 54
'S' 65
'S' 73
'S' 52
'S' 84
'S' 42
'S' 66
'S' 65
'S' 78
'S' 73
'S' 75
'B' 72
'S' 66
'S' 70
'B' 61
'S' 81
'S' 71
'S' 69
'S' 71
'S' 72
'S' 68
'S' 70
'B' 68
'B' 61
'S' 67
'S' 76
'S' 70
'S' 60
'S' 72
'S' 69
'S' 71
'S' 62
'S' 70
'B' 64
'S' 58
'S' 76
'S' 52
'S' 59
'S' 68
'S' 76
'B' 65
'S' 67
'S' 59
'B' 69
'S' 76
'B' 63
'B' 75
'B' 63
'S' 60
'B' 73
'S' 63
'S' 70
'B' 75
'S' 66
'B' 63
'B' 63
'S' 64
'S' 70
'S' 75
'S' 61
'S' 60
'B' 62
'S' 73
'S' 61
'S' 66
'B' 64
'S' 59
'S' 64
'B' 60
'B' 56
'S' 78
'S' 53
'S' 67
'B' 59
'S' 66
'B' 68
'S' 71
'B' 66
'B' 73
'B' 72
'B' 71
'B' 59
'B' 64
'B' 66
'B' 78
'B' 68
'B' 73
'B' 62
'B' 65
'B' 68
'B' 65
'B' 60
'B' 71
'B' 65
'B' 68
'B' 64
'B' 74
'B' 69
'B' 76
'B' 68
'B' 72
'B' 67
'B' 63
'B' 59
'B' 73
'B' 66
'B' 62
'B' 69
'B' 66
'S' 51
'S' 56
'S' 67
'S' 69
'B' 57
'B' 56
'S' 55
'S' 63
'S' 67
'S' 65
'S' 47
'S' 76
'S' 64
'S' 68
'S' 64
'S' 65
'B' 71
'S' 63
'S' 60
'S' 68
'S' 72
'S' 70
'S' 61
'S' 61
'S' 62
'S' 71
'S' 71
'S' 51
'B' 56
'S' 70
'S' 73
'S' 76
'S' 68
'S' 48
'S' 52
'S' 60
'S' 59
'S' 57
'S' 79
'S' 60
'S' 60
'S' 59
'B' 62
'B' 59
'S' 61
'S' 71
'B' 57
'B' 66
'B' 63
'B' 69
'S' 58
'S' 59
'B' 48
'B' 66
'B' 73
'B' 67
'B' 61
'B' 68
'B' 75
'B' 62
'B' 69
'S' 58
'S' 60
'B' 74
'S' 55
'S' 62
'B' 63
'S' 69
'B' 58
'B' 58
'S' 68
'B' 72
'B' 62
'B' 62
'B' 65
'B' 69
'B' 66
'B' 72
'B' 62
'B' 75
'B' 58
'B' 66
'B' 55
'B' 47
'S' 72
'B' 62
'B' 64
'B' 64
'S' 19
'B' 50
'S' 68
'B' 70
'S' 79
'B' 69
'S' 71
'B' 48
'B' 73
'B' 74
'B' 66
'S' 71
'S' 74
'B' 78
'S' 75
'S' 53
'B' 60
'S' 70
'B' 69
'B' 65
'S' 78
'B' 78
'S' 59
'S' 72
'S' 70
'B' 63
'S' 63
'B' 71
'S' 74
'S' 67
'S' 66
'S' 62
'B' 80
'S' 73
'S' 67
'S' 61
'B' 73
'S' 74
'S' 32
'B' 69
'S' 69
'B' 84
'B' 64
'B' 58
'S' 60
'B' 59
'B' 78
'S' 57
'S' 60
'S' 68
'S' 68
'S' 73
'S' 69
'B' 67
'B' 60
'S' 65
'B' 66
'B' 74
'S' 81
'B' 72
'B' 55
'B' 49
'B' 74
'B' 53
'B' 64
'B' 65
'B' 57
'B' 51
'B' 80
'B' 67
'B' 70
'B' 74
'B' 75
'B' 70
'B' 69
'B' 65
'S' 55
'B' 71
'B' 65
'S' 69
'S' 48
'S' 69
'S' 68
'S' 74
'S' 67
'S' 65
'S' 63
'S' 74
'S' 39
'S' 68
'S' 69
'B' 68
'S' 63
'B' 67
'S' 70
'S' 68
'S' 70
'S' 78
'S' 59
'S' 62
'S' 75
'S' 74
'S' 73
'S' 62
'S' 69
'S' 67
'S' 73
'S' 52
'S' 61
'S' 53
'S' 63
'S' 78
'S' 65
'S' 77
'S' 69
'S' 68
'S' 76
'S' 63
'S' 41
'S' 76
'S' 67
'S' 69
'B' 59
'S' 73
'B' 72
'B' 52
'B' 65
'S' 63
'S' 78
'S' 56
'B' 68
'S' 56
'S' 64
'S' 68
'S' 75
'B' 67
'S' 55
'B' 73
'S' 66
'S' 75
'S' 77
'B' 65
'B' 75
'B' 57
'S' 61
'S' 71
'S' 72
'B' 62
'S' 66
'S' 66
'S' 63
'S' 60
'S' 64
'S' 74
'B' 59
'S' 71
'S' 69
'B' 63
'B' 73
'B' 55
'S' 77
'S' 70
'B' 64
'B' 78
'B' 60
'B' 66
'S' 77
'B' 68
'B' 78
'S' 68
'B' 60
'S' 65
'B' 64
'S' 69
'B' 72
'S' 50
'S' 72
'B' 71
'B' 80
'B' 74
'S' 64
'B' 69
'S' 76
'B' 75
'S' 79
'B' 73
'B' 60
'B' 76
'S' 55
'B' 53
'S' 62
'S' 69
'B' 78
'S' 68
'B' 67
'S' 75
'B' 59
'B' 73
'B' 70
'B' 59
'S' 64
'S' 63
'S' 67
'S' 58
'S' 71
'S' 79
'S' 53
'B' 76
'B' 66
'B' 64
'S' 57
'S' 67
'B' 72
'S' 58
'S' 74
'B' 57
'S' 62
'B' 74
'S' 54
'S' 62
'B' 66
'S' 64
'B' 74
'B' 71
'S' 66
'S' 66
'S' 63
'B' 65
'B' 70
'B' 66
'S' 66
'S' 78
'B' 77
'B' 72
'B' 65
'B' 67
'B' 72
'B' 58
'S' 84
'S' 67
'B' 84
'S' 58
'B' 63
'S' 75
'S' 72
'B' 58
'B' 69
'S' 54
'S' 58
'S' 67
'S' 77
'B' 80
'B' 67
'B' 75
'B' 71
'B' 72
'B' 75
'B' 79
'B' 76
'S' 72
'B' 81
'S' 52
'S' 76
'B' 60
'S' 72
'S' 77
'S' 64
'B' 67
'B' 72
'B' 79
'B' 40
'S' 71
'S' 73
'S' 75
'B' 70
'B' 66
'B' 66
'B' 73
'B' 74
'S' 58
'S' 51
'S' 75
'B' 70
'B' 50
'B' 64
'B' 77
'S' 71




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264176&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264176&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264176&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







ANOVA Model
AMS.E ~ course_L
means66.73-0.846

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
AMS.E  ~  course_L \tabularnewline
means & 66.73 & -0.846 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264176&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]AMS.E  ~  course_L[/C][/ROW]
[ROW][C]means[/C][C]66.73[/C][C]-0.846[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264176&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264176&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

ANOVA Model
AMS.E ~ course_L
means66.73-0.846







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
course_L186.66386.6631.30.255
Residuals48632393.17166.653

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
course_L & 1 & 86.663 & 86.663 & 1.3 & 0.255 \tabularnewline
Residuals & 486 & 32393.171 & 66.653 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264176&T=2

[TABLE]
[ROW][C]ANOVA Statistics[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]Sum Sq[/C][C]Mean Sq[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]course_L[/C][C]1[/C][C]86.663[/C][C]86.663[/C][C]1.3[/C][C]0.255[/C][/ROW]
[ROW][C]Residuals[/C][C]486[/C][C]32393.171[/C][C]66.653[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264176&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264176&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
course_L186.66386.6631.30.255
Residuals48632393.17166.653







Tukey Honest Significant Difference Comparisons
difflwruprp adj
S-B-0.846-2.3050.6120.255

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
S-B & -0.846 & -2.305 & 0.612 & 0.255 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264176&T=3

[TABLE]
[ROW][C]Tukey Honest Significant Difference Comparisons[/C][/ROW]
[ROW][C] [/C][C]diff[/C][C]lwr[/C][C]upr[/C][C]p adj[/C][/ROW]
[ROW][C]S-B[/C][C]-0.846[/C][C]-2.305[/C][C]0.612[/C][C]0.255[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264176&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264176&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
difflwruprp adj
S-B-0.846-2.3050.6120.255







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group12.1790.141
486

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 2.179 & 0.141 \tabularnewline
  & 486 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264176&T=4

[TABLE]
[ROW][C]Levenes Test for Homogeneity of Variance[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]Group[/C][C]1[/C][C]2.179[/C][C]0.141[/C][/ROW]
[ROW][C] [/C][C]486[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264176&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264176&T=4

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group12.1790.141
486



Parameters (Session):
par1 = 2 ; par2 = 1 ; par3 = TRUE ;
Parameters (R input):
par1 = 2 ; par2 = 1 ; par3 = TRUE ;
R code (references can be found in the software module):
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
intercept<-as.logical(par3)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
xdf<-data.frame(x1,f1)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
names(xdf)<-c('Response', 'Treatment')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment - 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment, data = xdf) )
(aov.xdf<-aov(lmxdf) )
(anova.xdf<-anova(lmxdf) )
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, paste(V1, ' ~ ', V2), length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmxdf$coefficients)){
a<-table.element(a, round(lmxdf$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, V2,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[1], digits=3),,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$Df[2],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[2], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[2], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment, data=xdf, xlab=V2, ylab=V1)
dev.off()
if(intercept==TRUE){
'Tukey Plot'
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
}
if(intercept==TRUE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tukey Honest Significant Difference Comparisons', 5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1, TRUE)
for(i in 1:4){
a<-table.element(a,colnames(thsd[[1]])[i], 1, TRUE)
}
a<-table.row.end(a)
for(i in 1:length(rownames(thsd[[1]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[1]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[1]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
if(intercept==FALSE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'TukeyHSD Message', 1,TRUE)
a<-table.row.end(a)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Must Include Intercept to use Tukey Test ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
library(car)
lt.lmxdf<-leveneTest(lmxdf)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Levenes Test for Homogeneity of Variance', 4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
for (i in 1:3){
a<-table.element(a,names(lt.lmxdf)[i], 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Group', 1, TRUE)
for (i in 1:3){
a<-table.element(a,round(lt.lmxdf[[i]][1], digits=3), 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
a<-table.element(a,lt.lmxdf[[1]][2], 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')